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stira [4]
3 years ago
8

Is the system of equations is consistent, consistent and coincident, or inconsistent?

Mathematics
2 answers:
-Dominant- [34]3 years ago
8 0

Answer:

The given system of equations is inconsistent.

Step-by-step explanation:

We have been given a system of equations and we are asked to find whether our given system of equation is consistent, consistent and coincident, or inconsistent.

y=-3x+12...(1)        

y=-6x+2...(2)

Since we know that a system of equations is inconsistent if it has no solution. Parallel lines are inconsistent because they do not intersect.

Consistent system of equations can have one or infinitely many solution. As if two lines are same then they will have infinitely many solution. If lines intersect at only one point, then they will have only one solution.

Now let us check slope of given lines.

Upon dividing equation (2) by 2 we will get,

y=-3x+1...(2)

We can see that both lines have slope of negative 3. Since y-intercept of both equations are different, so they will not intersect at any point.

Since our given equations represent parallel lines, therefore, our given system of equations is inconsistent.

Tems11 [23]3 years ago
4 0
The slope of (y=-3x+12) is -3 while the slope of (y=-6x+2) is -6. Therefore, it's Inconsistent. 
Coincident is one line on the graph
Consistent is two parallel lines

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If we look at the last two (C & D) we can see that if -460 were right after 10 minutes he would have walked down 4,600 feet. This is WAY more that the total height of the hill and so can't be correct.

So C must be correct.

We can check this with some simple math:
rate = \frac{end-start}{time} = \frac{0ft-1380ft}{30mins}= -46\frac{ft}{min}
6 0
3 years ago
X+y=7 in slope intercept form
Travka [436]

Answer:

y = -x + 7

Step-by-step explanation:

The slope formula is as follows:

y = mx + b

So, in order to get x + y = 7 into slope intercept form we have to do the following things:

  1. Subtract x from both sides

If you do this step then your equation should look like this:

y = -x + 7

<em>Hope this helps!!</em>

<em>- Kay</em>

7 0
2 years ago
Read 2 more answers
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Answer:

It would be A.10

Step-by-step explanation:

20/5 = 4

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6 0
3 years ago
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belka [17]

Answer:

With rare exceptions, cars decrease in value with age. Depending on other factors, like accidents, repairs, or other damage, the value of a car may decrease even faster. If you borrowed money to buy a car, you might owe more on your car loan than its current value. When that happens, you have negative equity in the car. Some car dealers say you won’t be responsible for the remaining balance on your old car loan when you trade in your old car. But that might not be true. Dealers sometimes just roll over the negative equity into your new car loan, so you still end up paying it.

Step-by-step explanation:

Say you want to trade in your car for a newer model.

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5 0
3 years ago
Can someone help me on this?
n200080 [17]

Answer:

k = -5

Step-by-step explanation:

y = -8x - 73 and x = -4

y = (-8) (-4) - 73 = - 41     :    intersect at (-4 , - 41)

(-4 , - 41) must at y = 9x + k  

-41 = 9*(-4) +k

k = -41 + 36 = -5

y = 9x - 5    x<-4

6 0
3 years ago
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